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A cyclotron with a radius of 1.0 m is to accelerate deuterons (${^{2}_{1}\textrm{H}}$) to an energy of 12 MeV.

  1. What is the required magnetic field?
  2. What frequency is needed for the voltage between the dees?
  3. If the potential difference between the dees averages 22 kV, how many revolutions will the particles make before exiting?
  4. How much time does it take for one deuteron to go from start to exit?
  5. Estimate how far it travels during this time.

Source: Giancoli, Douglas C., Physics: Principles with Applications, 7th Edition, 2014.

Quick Answer: 
  1. $0.71 \textrm{ T}$
  2. $5.4 \textrm{ MHz}$
  3. $270 \textrm{ revs}$
  4. $5.0 \times 10^{-5} \textrm{ s}$
  5. $860 \textrm{ m}$

Giancoli 7th Edition, Chapter 32, Problem 10


Chapter 32, Problem 10 is solved.

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